用扩展有限元法模拟Ager基质上生物膜的生长

Xianlong Zhang , Xiaoling Wang , Qingping Sun
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引用次数: 2

摘要

各种类型的细菌在被称为生物膜的表面形成粘附聚集体,这是许多领域研究人员感兴趣的。本文提出了一种基于扩散-反应的连续介质模型,并将扩展有限元法(XFEM)与水平集相结合,模拟了生物膜在ager基质上的生长过程。数值结果显示了菌落形态与营养缺失之间的定量关系。通过实验观察,我们认为扩散限制模式比生长限制模式更适合描述枯草芽孢杆菌生物膜在MSgg - ager基质上的生长。我们的模型可以扩展到研究生物膜生长的详细生物学过程,如细胞细分和渗透压诱导的运输。
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Modeling of Biofilm Growth on Ager Substrate Using the Extended Finite Element Method

Various types of bacterial form adhesive aggregates on surfaces known as biofilms, which are of interest to researchers in a great variety of fields. In this paper, a continuum model based on diffusion-reaction is proposed and extended finite element method (XFEM) coupled to level set is employed to simulate the biofilm growth on ager substrate. Numerical results show the quantitative relationship between colony morphology and nutrient deletion. Comparing with experiment observation, we approve that diffusion limited regime is more appropriate than growth limited regime to describe Bacillus subtilis biofilm growth on MSgg ager substrate. Our model can be extended to investigate detailed biological process in biofilm growth such as cell subdivision and osmotic pressure induced transportation.

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